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Finding the Fourth Proportional to 487,253.52, 731,006.10 and 150,286.56

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Solution

The fourth proportional to 487,253.52, 731,006.10 and 150,286.56 is: 225,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,253.52 : 731,006.10 = 150,286.56 : x
  2. Step 2: Convert to fraction form
    487,253.52/731,006.10 = 150,286.56/x
  3. Step 3: Cross multiply
    487,253.52x = 731,006.10 × 150,286.56
  4. Step 4: Simplify right side
    487,253.52x = 109,860,392,108.02
  5. Step 5: Solve for x
    x = 109,860,392,108.02/487,253.52
  6. Step 6: Final answer
    x = 225,468.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.